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2001021202220 = 225193105113879
BaseRepresentation
bin11101000111100110001…
…010000110111100101100
321002021222121102022001112
4131013212022012330230
5230241042411432340
64131131220531152
7264366112403015
oct35074612067454
97067877368045
102001021202220
117016a0336167
12283989b50ab8
13116906cb5c41
146cbc835a00c
15370b799b065
hex1d1e6286f2c

2001021202220 has 96 divisors (see below), whose sum is σ = 4440103180800. Its totient is φ = 757505649600.

The previous prime is 2001021202183. The next prime is 2001021202237. The reversal of 2001021202220 is 222021201002.

It is a junction number, because it is equal to n+sod(n) for n = 2001021202195 and 2001021202204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144169241 + ... + 144183119.

It is an arithmetic number, because the mean of its divisors is an integer number (46251074800).

Almost surely, 22001021202220 is an apocalyptic number.

2001021202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001021202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220051590400).

2001021202220 is an abundant number, since it is smaller than the sum of its proper divisors (2439081978580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001021202220 is a wasteful number, since it uses less digits than its factorization.

2001021202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2001021202220 its reverse (222021201002), we get a palindrome (2223042403222).

The spelling of 2001021202220 in words is "two trillion, one billion, twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1051 1444 1805 2102 3610 4204 5255 6859 7220 10510 13718 13879 19969 21020 27436 27758 34295 39938 55516 68590 69395 79876 99845 137180 138790 199690 263701 277580 379411 399380 527402 758822 1054804 1318505 1517644 1897055 2637010 3794110 5010319 5274020 7208809 7588220 10020638 14417618 14586829 20041276 25051595 28835236 29173658 36044045 50103190 58347316 72088090 72934145 95196061 100206380 144176180 145868290 190392122 277149751 291736580 380784244 475980305 554299502 951960610 1108599004 1385748755 1903921220 2771497510 5265845269 5542995020 10531690538 21063381076 26329226345 52658452690 100051060111 105316905380 200102120222 400204240444 500255300555 1000510601110 2001021202220